The uniform laws of large numbers for the tent map

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• 作者：Jongsig Bae ; Changha Hwang ; Doobae Jun
• 关键词：Tent map ; Law of large numbers ; Uniform law of large numbers
• 刊名：Statistics and Probability Letters
• 出版年：2010
• 出版时间：1 September 2010-15 September 2010
• 年：2010
• 卷：80
• 期：17-18
• 页码：1437-1441
• 全文大小：245 K

文摘

The tent map is an ergodic map defined on the unit interval. This paper considers the asymptotic behaviors of the various processes generated by the tent map. We get the uniform versions of law of large numbers for the tent map. An application to Monte Carlo integration is provided.